Which of the following represents an equation in standard form for the line that passes through (3, −1) and (−5, −3).

Answers

Answer 1

Answer:

y = ¼x + (-7/4)

Step-by-step explanation:

find the gradient ( M)

M = y2- y1 ÷ x2-x1

M= -3 - (-1)÷(-5)-3 = ¼

the

find C in the equation (y=mx+c)

C = y-mx ( C = -1-¼(3)= -7/4

(use in y and x values provided)

now replace the values you find in the equation (y=Mx+C)

final answer is

y = ¼x+(-7/4)
Answer 2

y = ¼x + (-7/4) is the standard form for the line that passes through (3, −1) and (−5, −3)

What is Slope intercept form?

y=mx=c is the slope intercept form of a line, m is the slope.

We need to find equation of line passing through (3, −1) and (−5, −3)

First we need to calculate slope 'm'.

slope m = y2- y1 / x2-x1

y2=-3, y1=-1, x2=-5, x1=3

m= -3 - (-1)/(-5)-3 = -2/-8=1/4

Equation of line, y=mx+c

find C in the equation (y=mx+c)

C = y-mx

C = -1-1/4(3)= -7/4

now replace the values you find in the equation (y=Mx+C)

y =1/4x-7/4

Hence y =1/4x-7/4 is the equation of line  passes through (3, −1) and (−5, −3).

To learn more on slope intercept form click:

https://brainly.com/question/9682526

#SPJ2


Related Questions

Insert 3 arithmetic means between 10 and -10 (INSERT SOLUTION) ​

Answers

Answer:

5, 0, -5

Step-by-step explanation:

Numbers in sequence are:

10, a, b, c, -10

The difference between end points:

-10 - 10 = -20

Common difference of 5 terms:

-20 / (5 - 1) = - 5

The missing numbers are:

a = 10 - 5 = 5b = 5 - 5 = 0c = 0 - 5 = -5


[tex]8.0 \times {10}^{ - 5} \times 10000[/tex]
what would be the result​

Answers

the answer would be 0.8

i forgot to attach the photo before.... please help

Answers

Part (i)

I'll use H in place of T to represent the heat of the object. That way there isn't a clash of variables lowercase t vs uppercase T.

The equation we're working with is updated to:

H(t) = 22 + a*2^(bt)

Plugging in t = 0 as the initial time value should lead to the temperature being H = 86 degrees Celsius.

So,

H(t) = 22 + a*2^(bt)

86 = 22 + a*2^(b*0)

86 = 22 + a*2^0

86 = 22 + a*1

86 = 22 + a

a+22 = 86

a = 86-22

a = 64

Answer:  64

=====================================================

Part (ii)

We'll use the value of 'a' we found earlier. Plus we'll use the fact that H = 28 when t = 0.5 (since 30 min = 30/60 = 0.5 hr).

H(t) = 22 + a*2^(bt)

28 = 22 + 64*2^(b*0.5)

28-22 = 64*2^(0.5b)

64*2^(0.5b) = 6

2^6*2^(0.5b) = 6

2^(6+0.5b) = 6

log(  2^(6+0.5b)   ) = log(6)

(6+0.5b)*log(2) = log(6)

6+0.5b = log(6)/log(2)

6+0.5b = 2.5849625

0.5b = 2.5849625-6

0.5b = -3.4150375

b = -3.4150375/(0.5)

b = -6.830075

Answer: Approximately   -6.830075

14% of the towns population is over the age 65. If there are 320 residents over the age of 65, approximately what is the towns population?

Answers

Answer:

about 315

Step-by-step explanation:

2,250×0.14

hope this helps!

please help I dont understand ​

Answers

Answer:

I dont know The answer sorry

Step-by-step explanation:

Answer: 2

Step-by-step explanation: The average rate of change is calculated as the slope of the line between the two points on the graph. Since at x = 1, y = -3, and at x = 3, y = 1, these are the two points which we calculate the slope from. Using the formula

m = (y2 - y1)/(x2 - x1)

m = (1 - (-3))/(3 - 1)

m = 4/2

m = 2

The diagram shows a triangle.
P-42 degrees
P-21 degrees
P-36 degrees
What is the value of p?

Answers

Answer:

The value of p is not measure through brain but through the fire

-16>x divided by 2
Solve for x.

Answers

Answer:

x < -32

Step-by-step explanation:

Write the expression without radicals, using only positive exponents.

Answers

Answer:

[tex](a^{2}+b^{2})^{1/3}[/tex]

Step-by-step explanation:

(a² + b²)^1/3

Any number to the power 1/2 means to square root the number

Any number to the power 1/3 means to cube root the number etc.

Which algebraic expression represents this phrase?
the product of 40 and the distance to the finish line
A. 40 - d
B. 40 • d
C. 40/d
D. 40 + d

Answers

the answer is B

the product of something means to multiply

PLEASE HELP I REWARD BRAINLIEST!!!!!!!!!!!!!!
no silly answers please

Answers

Answer:

Step-by-step explanation:

If x=9, then x^2=81, because 9*9=81. -x^2=81, because -9*-9=81, and (-x)^2=81, because -9*-9=81.

If x=6, then x^2=36, because 6*6=36. -x^2=36, because -6*-6=36, and (-x)^2=36, because -6*-6=36.

Answer:

Keep in mind that x has a coefficient of 1.

x = 9

= 9² = 81

-x² = - 1 · 9² = -1 · 81 = -81

(-x)² = (-9)² = 81

x = -6

= -6² = -36

-x² = - 1 · -6² = -1 · 36 = -36

(-x)² = (-1 · -6)² = 36    

Which of the following are solutions to the equation below?
Check all that apply.
x2 + 6x + 9 = 20
A. x= 13 + 20
B. X = -2.75 +3
C. X = 2.5+ 3
D. X = -1/5 + 20
E. X = 2.5 - 3
F. x = -24/5-3

Answers

A D and b.............................................

Let fat be the explanatory variable and calories be the response variable; which scenario best describes ŷ = 121 + 1.42x?
The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.
The amount of calories in a cheeseburger increases by 121 for every one gram of fat. The calorie amount estimated by this model is 1.42 if there are zero grams of fat.
The amount of fat in a cheeseburger increases by 121 grams for every one calorie.
The fat amount estimated by this model is 1.42 grams if there are zero calories.
The amount of fat in a cheeseburger increases by 1.42 grams for every one calorie.
The fat amount estimated by this model is 121 grams if there are zero calories.
The amount of calories in a cheeseburger increases by 1.42 when there are zero grams of fat.
The calorie amount estimated by this model is 121 if there is one gram of fat.

Answers

Using linear function concepts, it is found that the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which represents by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.

In this problem:

The explanatory variable fat is the input.The response variable calories is the output.

The equation is:

[tex]y = 121 + 1.42x[/tex]

The slope is of 1.42, which means that the amount of calories increases by 1.42 when the amount of fat increases by 1 gram.The y-intercept is of 121, which means that if there are 0 grams of fat, there will be 121 calories.

Thus, the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A similar problem is given at https://brainly.com/question/16302622

i need help with this fast

Answers

Answer:

68

Step-by-step explanation:

the reason it is 68 is because its a reflection on the other side which that line is there also represents the other side so it is 68.

How many wholes are there in 7/3

Answers

Answer: there are 2 whole in 7/3

Step-by-step explanation: 7 divided by 3 is 2r1. 7/3 = 2 1/3

The product –2 • (–5) is shown on the number line. A number line shows an arrow from 0 to negative 5 labeled negative 5, another arrow from negative 5 to negative 10 labeled negative 5, and another arrow from 0 to 10 labeled the opposite of 2 times negative 5. Complete the sentences to explain how the model on the number line could be used to find the answer. Starting at 0 move twice to the left______ spaces. 2 • (–5) = ______. The answer is the opposite of that value, ______ .

Answers

Answer:

Starting at 0 move twice to the left___5___ spaces. 2 • (–5) = ___-10___. The answer is the opposite of that value, ___10___ .

Step-by-step explanation:

The required blank space is filled by the numbers, 5, -10, and 10.

Given that,
Starting at 0 move twice to the left______ spaces. 2 • (–5) = ______. The answer is the opposite of that value, ______ . To determine the solutions for the blank spaces.

What is a number line?

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

here,
The number line 2(-5), shows that move twice to the left 5 spaces.
And This results in -10 spaces having to move, and the outcome is the opposite of the number 10.

Thus, A complete solution is "Starting at 0 move twice to the left 5 spaces. 2 • (–5) = -10. The answer is the opposite of that value, 10.

Learn more about number line here:

brainly.com/question/17683084

#SPJ5

May I please receive help?

Please???

Answers

Answer:

m2=16

Step-by-step explanation:

68/2=34

34-18 m1 is more than 18

=16

I need help with volume by water displacement

Answers

Just subtract the original number from the new number, then you get the volume of the object that was put in the liquid!

new - original = volume of object

someone buys a chair in sale for 435.60 dollars. its is a reduction of 12% from the the original price. what is the original price... the amswer is 495 dollars but i need someone to explain it​

Answers

100%=(435.60÷88)x100

which is 495.

Answer:

Step-by-step explanation:

435,60:12%

PLZ HELP...........................................

Answers

Answer:

y=x-2+√3

Step-by-step explanation:

I'm not sure keep it up

(solve for x)

-8-x=x-4x

Answers

Answer:

[tex] ➜- 8 - x + x = x - 4x + x[/tex]

[tex] ➜- 8 = - 2x[/tex]

[tex] ➜- \frac{8}{ - 2} = \frac{ - 2x}{2} [/tex]

[tex]➜x=4[/tex]

Guys pls help me!!!!!!!

Answers

Answer:

64 degrees

Step-by-step explanation:

since x is corresponding to 64, they are congruent.

Answer:

x = 64

Step-by-step explanation:

x and 64° are corresponding angles and are congruent , then

x = 64

Write an equation of the line in​ point-slope form that passes through the given points. (4,6) and (5,9)

Answers

Answer:

graph{x + 2 [-10, 10, -5, 5]}

Step-by-step explanation:

In seventh grade, Emile grew 3 9/10cm,and in eight grade he grew 4 2/5cm. How much did his height increase during these two years?

Answers

Answer:

8 3/10 cm

Step-by-step explanation:

Add Emile's 7th and 8th grade growth amounts together:

3 9/10 cm

4 4/10 cm           (This is equivalent to 4 2/5 cm.)

-----------------

 7 13/10 cm, or

 8 3/10 cm

if maria earned $60 in interest over a 4 year period at a 4% simple annual interest how much did she originally deposit in savings

Answers

formula for interest=principle×rate×time/100

60=x×4×4/100

60=16x/100

16x=6000

x=375

Answer:

C. $375

Step-by-step explanation:

50 POINTS PLS HELP


The total cost after sales tax to fix Azar’s computer is represented by the expression 0.08 (55h) + 55h, where h represents the number of hours it takes to fix Azar’s computer.


What percentage sales tax is Azar being charged? Explain your answer using 1-2 sentences


What part of the expression represents the dollar amount of sales tax Azar must pay?

Answers

Answer:

these are 5 points look clearly.XD

The percentage sales tax is 8%.

The part of the expression that represents the dollar amount of sales tax Azar must pay is 0.08 55(h).

Given,

The total cost after sales tax to fix Azar’s computer is represented by the expression:

- 0.08 (55h) + 55h

where h represents the number of hours it takes to fix Azar’s computer.

We need to find out what percentage of sales tax is Azar being charged.

and what part of the expression represents the dollar amount of sales tax Azar must pay.

What represents sales taxes?

It is mostly represented by a percentage.

We have,

100% = 100/100 = 1

50% = 50/100 = 1/2 = 0.5

25% = 25/100 = 1/4 = 0.25

20% = 20/100 = 1/5 = 0.2

We have,

- 0.08 (55h) + 55h

The sales tax is also charged according to the number of hours so,

In the expression 0.08 can be written as a percentage.

0.08 = 8 /100 = 8%

The percentage sales tax is 8%.

Now,

0.08 55(h) means the sales tax Azar must pay.

For 1 hour,

0.08 x 55 = 4.4 is the sales tax.

For 2 hours,

0.08 x (55x2) = 0.08 x 110 = 8.8.

And so on,

So,

The part of the expression that represents the dollar amount of sales tax Azar must pay is 0.08 55(h).

Thus,

The percentage sales tax is 8%.

The part of the expression that represents the dollar amount of sales tax Azar must pay is 0.08 55(h).

Learn more about how to write an expression here:

https://brainly.com/question/15202915

#SPJ2

9. The repair order is a legal document because

People say it’s B or C, which one is correct.

Correct gets brainliest!!!

Answers

Answer:

C is the correct answer cos it is paid by the customer

A survey was given to people who own a certain type of car. What percent of the people surveyed were completely satisfied with the​ car?

Answers

60% of the people from the survey are completely satisfied

The difference of twice a number and three is​

Answers

Answer:

2

Step-by-step explanation:

given the difference of twice a number and one is three to find "number" let the number be x

2x - 1 =3

2x = 4

x= 2

thus the number is 2

Volume Of This Cylinder

Answers

Answer:

6

Step-by-step explanation:

1. The Formula for volume of a Square is V=πr2h

2. So u would plug everything in.. so v- π4²12

3. so then u get 6

Find the discriminant to determine the number of roots, then solve the quadratic equation using the quadratic formula. !! PLS HELP !!

Answers

Answer:

Discriminant review

Discriminant reviewThe discriminant is the part of the quadratic formula underneath the square root symbol: b²-4ac. The discriminant tells us whether there are two solutions, one solution, or no solutions.

Other Questions
Help ASAP 50 points What is the length of TU? Show all work proportions. 1. We use ___________ ____________ to explain what we are talking about. *this, thatthis, that, these, thosethis, thesethat, those2.We use this / these for things which are _________________________. *general thingson the phonephysically at a distance from usphysically near us Which important document most likely influenced the early American ideathat citizens have freedoms the government cannot take away?A. The English Bill of RightsB. Common SenseC. The Mayflower CompactD. The Magna Carta A football coach must order 9 new jerseys. The jerseys cost $23.79 each.What is the total cost for the jerseys? How many days a week should you participate in exercise?A. 1-3 daysB. 0-2 daysC. 7 daysD. 3-5 days Help please i beg you (;`) Can someone help me with this please? 7Select the correct answer.Smokers are usually able to run longer than non-smokers.O A.TrueOB.FalseResetNext what dictates the structure of a protein molecule synthesized by the body? A submarine dove to a level of 450 meters below the surface of the ocean. Later itclimbed 270 meters and finally dove 80 meters more. At what depth did it stop? What is the y-intercept of the line graphed on the grid? A) -1 B) 2 C) -2 D) 1 Can someone pls help me? Write a short poem from the perspective of a traveler during the 1930sIn your own words What is the value of this?? You are an entrepreneur, fresh from an IPO placing your net worth somewhere in the top one-one-hundredth of one percent. (Youre now an evil top one-one-hundredth of one percenter!) Youve always had a dream of flying, and so, between efforts at your newest start-up, you take lessons at your local airport to learn how to fly helicopters. Upon receiving your license (and after the appropriate festivities), you stop by the helicopter dealer next door, and purchase a sparkly, brand-new, 5-bladed, hot-rod Hughes MD500 helicopter (with the special two-tone paint job, of course).After signing the papers and being given the keys, you hop in the helicopter, lift off, and begin to climb awaywhereupon the tail rotor, which had been installed without safety fasteners, twists off. The helicopter, minus its tail rotor, spins out of control.Your surviving relatives can sue the dealer because:a. This is an implied warranty from a usage of trade.b. This is an implied warranty of merchantability.c. This is an implied warranty of fitness for a specific purpose.d. This is an express warranty.e. Your surviving relatives cannot sue the dealer. What does this descriptionfrom Sec. 2 of "The Invalid'sStory" tell us about thenarrator?"my dearest boyhood friendand schoolmate, John B.Hackett, had died the daybefore, and that his lastutterance had been a desirethat I would take his remainshome to his poor old fatherand mother in Wisconsin."A. The narrator was childhood friends withthe man who died.B. The narrator did not know the manwho died at all.C. The narrator did not have a formaleducation. What type of organism is the tuberculosis bacterium, a multicellular or unicellular organism? Explain. Cross multiply to determine whether the fractions are equivalent. ?4/8=2/4 The area of a rectangle is 247.2 m2. If the length is 15 m, what is the perimeter of the rectangle? What is the total surface area of a right cylinder with diameter 14 inches, and height 5 inches